👉 Fence math, also known as fence theory or fence calculus, is a mathematical framework that generalizes concepts from differential geometry and topology to study the properties of manifolds, particularly in the context of infinite-dimensional spaces. It involves analyzing the behavior of curves and surfaces by considering "fences," which are limits of sequences of curves or surfaces approaching a given object. This approach is especially useful in understanding the topology and geometry of spaces that are not necessarily smooth or compact, such as those arising in infinite-dimensional function spaces. Fence math provides tools to study the stability and continuity of geometric structures, enabling deeper insights into problems in areas like partial differential equations, quantum field theory, and the study of dynamical systems. By focusing on the limits of sequences and their properties, fence math offers a powerful method to handle complex geometric and topological questions in a more abstract and flexible manner.
